121Chapter 52.Sample answer:3.Sample answer: An altitude and angle bisector ofa triangle are the same segment in an equilateraltriangle.4.Find an equation of the perpendicular bisector of AwBw.The slope of AwBwis 2 }16}, so the slope of theperpendicular bisector is 6. The midpoint of AwBwis 10,}52}2.y2y15¬m(x2x1)y2}52}5¬6(x20)y2}52}5¬6xy5¬6x1}52}Find an equation of the perpendicular bisector ofBwCw. The slope of BwCwis 3, so the slope of theperpendicular bisector of BwCwis 2 }13}. The midpointof BwCwis (2,21).y2y15¬m(x2x1)y2(21)5¬2 }13}(x22)y115¬2 }13}x1}23}y5¬2 }13}x2 }13}Solve a system of equations to find the point ofintersection of the perpendicular bisectors.Find x.y5¬6x1}52}2 }13}x2 }13}5¬6x1}52}22x225¬36x1152175¬38x2 }1378}5¬xReplace xwith 2 }1378}in one of the equations to find the y-coordinate.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.